Step-by-step explanation:
[tex]\text{The length between 2 points, } (x_1, y_1)\text{ and }(x_2,y_2)\text{ is determined by, }[/tex]
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\text{The length between } (12, -22)\text{ and }(8, -30)\text{ is determined by, }[/tex]
[tex]d=\sqrt{(8-12)^2+(-30-(-22))^2}=\sqrt{4^2+8^2}=\sqrt{4^2(1+2^2)}=4\sqrt5[/tex]
40 x 3 x 100 ? What is the product
Answer:
12,000
Step-by-step explanation:
40*3 = 120
120*100 = 12,000
what is the sum of (3x^2y+4xy^2-2y^3+3) and (x^2y+2y^3-4)
Answer:
This is the sum ---> 4x^2y + 4xy^2 - 1
Step-by-step explanation:
(3x^2y+4xy^2-2y^3+3) + (x^2y+2y^3-4)
(remove the parenthesis)
= 3x^2y + 4xy^2 - 2y^3 + 3 + x^2y + 2y^3 - 4
(now, group the like terms)
= -2y^3 + 2y^3 + 4xy^2 + 3x^2y + x^2y + 3 - 4
(add the elements you think are alike or similar)
= -2y^3 + 2y^3 + 4xy^2 + 4x^2y + 3 - 4
= 4xy^2 + 4x^2y + 3 - 4
= 4xy^2 + 4x^2y - 1
Answer:
the sum is 4x^2y + 4xy^2 - 1
Can someone explain me how to do this
8) v = -3
9) m = 4
Explanation:
8)
[First distribute the factored terms on the left side of the equation]
2(v + 4) + 3(4v + 5) = -19 →
2(v) + 2(4) + 3(4v) + 3(5) = -19 →
2v + 8 + 12v + 15 = -19 →
[Next, add the like terms together]
(2v + 12v) + (8 + 15) = -19 →
14v + 23 = -19 →
[Subtract 23 from both sides to isolate the constant term]
14v + 23 – 23 = -19 – 23 →
14v = -42 →
[Lastly, divide both sides by 14 in order to obtain the value of v from the coefficient of 14 in 14v]
14v / 14 = -42 / 14 →
v = -3
9)
[Start by distributing the factored term on the left side of the equation]
2(m – 1) = 10 – m →
2m – 2 = 10 – m →
[Next, add m to both sides in order to isolate the m term and remove -m from the right side of the equation]
2m – 2 + m = 10 – m + m →
3m – 2 = 10 →
[Add 2 to both sides to isolate the constant term and remove -2 on the left side of the equation]
3m – 2 + 2 = 10 + 2 →
3m = 12 →
[Finally, divide by 3 on both sides in order to reduce the coefficient of 3 in 3m to get m]
3m / 3 = 12 / 3 →
m = 4
Help me with this please I’d appreciate it
The coordinates of Point [tex]D'[/tex] are [tex](42, 0)[/tex]
[tex]\text{Algebraic Representation: } (x,y) \to (7x,7y)[/tex]
Evaluate (27)−1/3(27)−1/3×[271/3−272/3]
Answer:
[tex](27) - \frac{1}{3} (27) - \frac{1}{3} \times ( \frac{271}{3} - \frac{272}{3} ) \\ \\ 27 - 9 - \frac{1}{3} ( \frac{ - 1}{3} ) \\ \\ 27 - 9 - ( - \frac{1}{9} ) \\ \\ 27 - 9 + \frac{1}{9} \\ \\ \frac{243 - 81 + 1}{9} \\ \\ = \frac{163}{9} = 18.1 = 18 \frac{1}{9} [/tex]
I hope I helped you^_^
Help me please I will give 20 points if you answer correctly!
Answer:
Step-by-step explanation:
Base = 8 * 8 = 64 square units
4 (8*6)/2 = 96 square units
64 + 96 = 160 square units
what does x=
please explain!
Answer:
x=37°
Step-by-step explanation:
2x°=74° (vertically opposite angles)
2x°/2=74°/2
x=37°
74° = 2x°
2x° = 74°
x° = 74° : 2
x° = 37°
in the figure below the measure of <1=5x°, the measure of <2=y°, and the measure of <3=85°. Find the value of each variable.
(for the first one <1=5x° I found out x=17 so I just need the rest if you can)
Answer:
y=95
Step-by-step explanation:
17x5=85
180-85=95
y=95
Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles. The value of x and y is 17 and 95, respectively.
What are vertical angles?Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles.
The measure of ∠1 and ∠3 will be equal since the two angles are vertical angles. Therefore, we can write.
∠1 = ∠3
5x° = 85°
x = 85° / 5
x = 17°
Also, the sum of measures ∠1 and ∠2 will be equal to 180°, this is because the two angles form a pair of linear angles. Therefore, we can write,
∠1 + ∠2 = 180°
5x + y = 180°
Substitute the value of x,
5(17°) + y = 180°
85° + y = 180°
y = 180° - 85°
y = 95°
Hence, the value of x and y is 17 and 95, respectively.
The complete question is mentioned below.
Learn more about Vertical Angles here:
https://brainly.com/question/24460838
#SPJ2
which number comes first when The numbers are listed from least to greatest a. 1/6 b. -1 c. 5 squared d. -7/2 e. 4.6
the answer is C. -1
Step-by-step explanation:
-1 is the smallest number
Jennifer is saving money to buy a bike. The bike costs $261. She has $107 saved, and each week she adds $14 to her savings.
How long will it take her to save enough money to buy the bike?
It will take her ____ weeks to save for the bike.
Answer:
It will take her 11 weeks to save for the bike
Step-by-step explanation:
261 -107 = 154
154 /14=11
14 - 8 + 3 + 8 × [24 ÷ 8]
Answer:
33
Step-by-step explanation:
14 - 8 + 3 + 8 × [24 ÷ 8] =
14 - 8 + 3 + 8 × 3 =
14 - 8 + 3 + 24 =
6 + 3 + 24 =
9 + 24 =
33
Answer:
14-20×(24÷8)=-6×{3}=-18
R 3. The mean of 4 numbers is 8. Three of the numbers add up to 22. What is the last number?
let the last number be x
we know,
[tex] \boxed{mean = \frac{sum \: \: of \: \: all \: \: observations}{number \: \: of \: \: observations} }[/tex]
So,
[tex] \hookrightarrow \: 8 = \dfrac{22 + x}{4} [/tex]
[tex] \hookrightarrow \: 8 \times 4 = 22 + x[/tex]
[tex] \hookrightarrow \: 32 = 22 + x[/tex]
[tex] \hookrightarrow \: x = 32 - 22[/tex]
[tex] \hookrightarrow \: x = 10[/tex]
therefore, the last number is 10.
3 divided by 45 I need help I stink at division
Answer:45 divided by 3 is 15
Step-by-step explanation:
Answer:
its 15
I'm bad at explaning
Which of the following values are solutions to the inequality 5x – 10 < -5?
I. - 1
II. 9
III.1
None
I only
II only
III only
I and II
I and III
II and III
I, II and III
Answer:
-1
Step-by-step explanation:
Plug in all of the numbers for x. 1 is -5<-5 and -1 is -15<-5
Help what is the slope of the line?
9514 1404 393
Answer:
8/5 = 1.6
Step-by-step explanation:
It looks like the line crosses grid points (-4, -4) and (1, 4). This means the slope is ...
m = (y2 -y1)/(x2 -x1)
m = (4 -(-4))/(1 -(-4)) = 8/5 = 1.6
The slope of the line seems to be about 8/5, or 1.6.
Solve for v in terms of s, t, and u.
S = U-t + V
V = what??
Answer:
[tex]v=s-u+t[/tex]
Step-by-step explanation:
Hi there!
[tex]s=u-t+v[/tex]
Our goal is to isolate v on one side of the equal sign.
Subtract u from both sides:
[tex]s-u=u-t+v-u\\s-u=-t+v[/tex]
Add t to both sides to isolate v:
[tex]s-u+t=-t+v+t\\s-u+t=v\\v=s-u+t[/tex]
I hope this helps!
PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HELP DECIMAL WORD PROBLEM INTO EQUATION
Answer:
136 miles
Step-by-step explanation:
Write an equation to represent the cost of the rental, and then solve the equation to find the number of miles.
Let x = number of miles.
The total cost is the cost per mile plus the base fee.
1 mile costs $0.90
2 miles cost $0.90 * 2
x miles cost $0.90 * x, or simply 0.9x
The base fee is $16.95, so the total to rent for x miles is 0.9x + 16.95
The equation
c = 0.9x + 16.95
gives you the cost, c, for a rental of x miles.
We are told the total cost was $139.35. Replace c with 139.35, and solve for x, the number of miles.
139.35 = 0.9x + 16.95
Switch sides.
0.9x + 16.95 = 139.35
Subtract 16.95 from both sides.
0.9x = 122.4
Divide both sides by 0.9
x = 122.4/0.9
x = 136
Answer: 136 miles
14 less than f
what is it?
2x° 4xº
Find the value of x.
Write and solve the equation to find the
value of x.
"The quotient of negative sixty and a
number x is four."
a) -60 * x = 4; x = 15
b) -60 / x = 4; x = -15
c) -60 * x = 4; x = -15
d) -60 / x = 4; x = 15
Answer:
C) -60/x = 4; x = -15Step-by-step explanation:
-60 / x = 4-60 ÷ 4 = -15x = -15Checking:-60/x = 4-60/(-15) = 4[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
simplify this exponential expression
[tex]( \frac{1}{3} )^{2} [/tex]
Answer:
Answer: 3^-2
Step-by-step explanation:
[tex]( \frac{1}{3} ) {}^{2} \\ \\ = \frac{ {1}^{2} }{ {3}^{2} } \\ \\ = {3}^{ - 2} [/tex]
Answer:
[tex]\frac{1}{9}[/tex]
Step-by-step explanation:
Evaluate the power
[tex]\frac{1^2}{3^2}[/tex]
Divide
[tex]\frac{1}{9}[/tex]
(EASY) In a rectangle, the length is 5 metres more than the width The perimeter of the rectangle is 70 metres Calculate the measurments for the length and width
Answer:
15 m and 20 m
Step-by-step explanation:
Let the width be x
Length = x + 5
Perimeter = 2(l + b)
70 = 2(x + 5 + x)
70/2 = 2x + 5
35 = 2x + 5
35 - 5 = 2x
30 = 2x
30/2 = x
15 = x
Length = x + 5 = 20 m
Breadth = x = 15 m
You have 100 balls and 100 empty boxes. You need to put each of the ball randomly into one of the boxes, what is the expectation number of the number of empty
i need a little bit of help.
Answer:
Top right corner.
Step-by-step explanation:
[tex]9.28+2x=18.14\\2x=8.86\\x=4.43[/tex]
Since x = 4.43, we want the point to be around halfway from 4 to 5 therefore the top right corner should be closest.
Can someone HELP ME WITH QUESTION 2 ONLY PLEASE!!! 20 points !!!
Step-by-step explanation:
1. Line l can be named as line FBD
2. B and C
3. Colinear:-A,B,C
No-Colinear:-F,B,C
4. 6
5. DE = 13
2 + 2x - 3 = 13
2x - 1 = 13
2x = 12
x = 12/2
x = 6
Answer:
The intersection of line l is AC and the intersection of line m is FD.
Intersection line means the line which passes the line by crossing it.
I need a little help .??!??????????????????????
(e) it is the last one........
PLEASE HELP THIS IS DUE TODAY :((
The picture is attached below
The question is
Given the piecewise function shown below select all of the statements that are true
A is true: 1 > 0, and f (1) = 1² - 1 = 0.
B is false: -2 < 0, so f (-2) = -(-2) + 1 = 3.
C is false: 4 > 0, and f (4) = 4² - 1 = 15.
D is true: -1 < 0, so f (-1) = -(-1) + 1 = 2.
Is -10/3 greater or less that the square root of -9
Step-by-step explanation:
The square root of -9 is greater than that
1/7 x X =1
X x 1/11=1
1 divided by 1/5=
Answer:
x = 7x = 115Step-by-step explanation:
[tex] \frac{1}{7} \times x = 1[/tex]
[tex]7 \times \frac{1}{7} x = 7 \times 1[/tex]
[tex]7 \times \frac{1}{7} x = 7[/tex]
[tex]\boxed{\green{x = 7}}[/tex]
◇◇•◇◇
[tex]x \times \frac{1}{11} = 1[/tex]
[tex] \frac{1}{11} x = 1[/tex]
[tex]11 \times \frac{1}{11} x = 11 \times 1[/tex]
[tex]11 \times \frac{1}{11} x = 11[/tex]
[tex]\boxed{\green{x = 11}}[/tex]
♤♤•♤♤
[tex]1 \div \frac{1}{5} = 1 \times \frac{5}{1} [/tex]
[tex]1 \times 5[/tex]
[tex] \boxed{\green{= 5}}[/tex]
what might of been the population of vermont in 2008???
The answer is 624,151
Sorry if I'm wrong
